Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

57.

Among below expressions which one can be expressed as the difference of two cubic expressions?

  • straight x cubed plus straight y cubed plus 3 straight x plus 3 straight y
  • straight x cubed plus 2 straight x squared plus 3 straight x plus straight x squared
  • straight x cubed plus 3 straight x squared plus 3 straight x minus 2
  • straight x cubed plus 3 straight x squared plus 3 straight x minus 7

D.

straight x cubed plus 3 straight x squared plus 3 straight x minus 7
105 Views

51.

A electric pump can fill a tank in 2 hours. Because of a leak in the tank, it was taking 2 1 half space hours to fill the tank. The leak can drain all the water off the tank in how many hours?

  • 9 hours

  • 10 hours

  • 10 1 half space hours
  • 11 1 half space hours

B.

10 hours

Let the leak can drain all the water off the tank  = x hours
According to the question,
            1 half minus 1 over straight x space equals space 2 over 5
rightwards double arrow        1 over straight x space equals 1 half minus 2 over 5 space equals fraction numerator 5 minus 4 over denominator 10 end fraction
rightwards double arrow        1 over straight x space equals space 1 over 10
rightwards double arrow        x = 10 hours    

257 Views

56.

A sum of ₹ 1,200/- is lent to be paid back in 5 equal annual instalments of ₹ 264 each. The rate of interest per annum is

  • 6%

  • 8%

  • 2%

  • 4%


C.

2%

Total interest  = 264 x 5 - 1200 = 1320 - 1200 = ₹120/-
Interest of 1 year = 120 over 5 equals ₹ space 24 divided by negative
Let the rate of interest = r%
                    24 space equals space fraction numerator 1200 space cross times space straight r space cross times space 1 over denominator 100 end fraction
straight r space equals space 2400 over 1200 space equals space 2 percent sign

291 Views

52.

Find the marked price if the selling price is ₹ 9,250/- and discount is 7 1 half percent sign.

  • ₹ 9,000/-

  • ₹ 8556.25/-

  • ₹ 10,000/-

  • ₹ 9943.75/-


C.

₹ 10,000/-

Apply shortcut method: (Rule of beginning):
rightwards double arrow space space space fraction numerator 9250 cross times 100 over denominator left parenthesis 100 minus begin display style 15 over 2 end style percent sign right parenthesis end fraction
rightwards double arrow space fraction numerator 9250 space cross times space 100 space cross times 2 over denominator 185 end fraction
rightwards double arrow space 10000 divided by negative

256 Views

59.

The line segment AB intersects the straight line CD at B; AB will be smallest when angle ABD is

  • 30 degree
  • 60 degree
  • 90 degree
  • 45 degree

C.

90 degree
466 Views

54.

The length of a rectangle is increased by 25%. To maintain the same area, the breadth has to be increased by

  • 20%

  • 25%

  • 30%

  • 40%


A.

20%

Required percentage  = fraction numerator 25 over denominator 25 plus 100 end fraction cross times 100
                               = 25 over 125 cross times 100 space equals space 20 percent sign

207 Views

58.

If straight a over straight b plus straight b over straight a equals negative 1, then the value of straight a squared over straight b squared minus straight b squared over straight a squared is

  • 1

  • -1

  • 0

  • 2


C.

0

straight a over straight b plus straight b over straight a space equals space minus 1
fraction numerator straight a squared plus straight b squared over denominator ab end fraction equals negative 1
straight a squared plus straight b squared space equals space minus ab
straight a squared plus straight b squared plus ab space equals space 0                       ...(i)
straight a squared over straight b minus straight b squared over straight a space equals space fraction numerator straight a cubed minus straight b cubed over denominator ab end fraction
equals space fraction numerator left parenthesis straight a minus straight b right parenthesis thin space left parenthesis straight a squared plus straight b squared plus ab right parenthesis over denominator ab end fraction
equals fraction numerator left parenthesis straight a minus straight b right parenthesis space cross times space 0 over denominator ab end fraction space space space space space space space space space space space space space left square bracket From space equation space left parenthesis straight i right parenthesis right square bracket
equals space 0

112 Views

53.

A certain amount of money is divided between A and B in the ratio of 5:6. If B gets ₹360/-, the amount is

  • ₹660/-

  • ₹560/-

  • ₹680/-

  • ₹580/-


A.

₹660/-

Let the amount  = ₹ x
According to the question,
                 Share of B = straight x space cross times space 6 over 11
                       360 = 360 space equals space fraction numerator straight x cross times 6 over denominator 11 end fraction space space space rightwards double arrow space space space straight x space equals space ₹ space 660 space divided by negative

209 Views

55.

A car takes 5 hours to cover 100 km distance at a particular speed whereas another car takes 3 hours to reach a particular distance at the same speed. Find the distance.

  • 40 km

  • 60 km

  • 70 km

  • 80 km


B.

60 km

Speed of first car = 100 over 5 space equals space 20 space km divided by hr
  Speed of first car =Speed of second car

therefore  Distance covered by second car = 20 x 3 = 60 km

296 Views

60.

Which of the following is not true for a rhombus?

  • All sides are congruent

  • Opposite sides are parallel

  • Diagonals are equal

  • Diagonals bisect each other at right angles


C.

Diagonals are equal

277 Views